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Finding the Fourth Proportional to 180,854.90, 271,023.15 and 133,097.30

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Solution

The fourth proportional to 180,854.90, 271,023.15 and 133,097.30 is: 199,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,854.90 : 271,023.15 = 133,097.30 : x
  2. Step 2: Convert to fraction form
    180,854.90/271,023.15 = 133,097.30/x
  3. Step 3: Cross multiply
    180,854.90x = 271,023.15 × 133,097.30
  4. Step 4: Simplify right side
    180,854.90x = 36,072,449,502.50
  5. Step 5: Solve for x
    x = 36,072,449,502.50/180,854.90
  6. Step 6: Final answer
    x = 199,455.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.